Electromagnetic Induction / Transformers

1. The problem statement, all variables and given/known data
A simple transformer is constructed by wrapping wire around opposite ends of an iron rod to form solenoids A and B. Solenoid A is connected to a 12-V battery and a variable resistor, while solenoid B is conncted to an ammeter.
http://f.exoload.com/507/homework.jpg

A. If current through solenoid A is increased, how will the magnetic flux through the iron rod be affected. Support your answer with a diagram.

B. Determine the direction of the induced magnetic field in solenoid B if the current in solenoid A is increased. Support with a diagram.

2. Relevant equations

3. The attempt at a solution
A) Nothing in my notes is like this. I dont know what it means by magnetic flux. By using the second left hand rule, I figured out that the right side is north pole, and the left side is south pole.

B) Again, i can use the second left hand rule, but I dunno what would be changed if the current was increased in solenoid A.